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Chapter 12: Q. 205E (page 1213)

In the following exercises, expand each binomial using Pascal's Triangle.

(3x-1)5

Short Answer

Expert verified

Expansion is243x5-405x4+270x3-90x2+15x-1

Step by step solution

01

Given Information

Expand binomial using Pascal's Triangle.

(3x-1)5

02

Solution

We have

Here the exponent is 5 hence we need to consider sixth row

The expansion is

(3x-1)5=1(3x)5+5(3x)4(-1)+10(3x)3(-1)2+10(3x)2(-1)3+5(3x)(-1)4+1(-1)5=243x5-405x4+270x3-90x2+15x-1

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